Question

Complete. You may find that drawing a diagram will help you.

If M is the midpoint of $\overline{AB}$, then ___?___ $\cong$___?___.

Short answer

If M is the midpoint of $\overline{AB}$, then $\overleftrightarrow{AM}\cong \overleftrightarrow{MB}$.

Step-by-step solution

Step 1. Definition of Midpoint.

A point on a line segment that divides it into two equal parts is defined as the midpoint of a line.

Step 2. Draw the diagram.

Draw the diagram with M as the midpoint on line $\overline{AB}$.

Step 3. State the conclusion.

From the diagram, it can be clearly concluded that if M is the midpoint of $\overline{AB}$, then M will $\overline{AB}$cut into two lines, that is $\overleftrightarrow{AM}\cong \overleftrightarrow{MB}$.

Thus, If M is the midpoint of $\overline{AB}$, then$\overleftrightarrow{AM}\cong \overleftrightarrow{MB}$